| Abstract: |
| Nonlinear heat equations in two dimensions with singular initial data will be discussed.
In this talk we propose a specific model nonlinearity with Trudinger-Moser growth for which we obtain the following trichotomy: a) for initial data strictly below a certain singular threshold function the problem is well-posed, b)for initial data above this singular function, there exists no solution, c) for the singular initial datum there is non-uniqueness. |
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